{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:52.776731Z",
     "start_time": "2025-11-04T06:11:52.771422Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA"
   ],
   "outputs": [],
   "execution_count": 38
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:52.797218Z",
     "start_time": "2025-11-04T06:11:52.791361Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 生成数据\n",
    "X = np.random.randn(1000, 3)\n",
    "print(X.shape)"
   ],
   "id": "6e3e7bb5a12bc766",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 3)\n"
     ]
    }
   ],
   "execution_count": 39
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:52.826557Z",
     "start_time": "2025-11-04T06:11:52.818661Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 使用PCA 将3维数据降维成2维\n",
    "pca = PCA(n_components=2)\n",
    "X_pca = pca.fit_transform(X)\n",
    "print(X_pca.shape)"
   ],
   "id": "dd86cc40dfc90730",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 2)\n"
     ]
    }
   ],
   "execution_count": 40
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:53.293985Z",
     "start_time": "2025-11-04T06:11:52.895461Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 可视化\n",
    "# 转换前的3维数据可视化\n",
    "fit = plt.figure(figsize=(12, 4))\n",
    "ax1 = fit.add_subplot(121, projection='3d')\n",
    "ax1.scatter(X[:, 0], X[:, 1], X[:, 2], c='g')\n",
    "ax1.set_title('Before PCA(3D)')\n",
    "ax1.set_xlabel('Feature1')\n",
    "ax1.set_ylabel('Feature2')\n",
    "ax1.set_zlabel('Feature3')\n",
    "# 转换后的的2维数据可视化\n",
    "ax2 = fit.add_subplot(122)\n",
    "ax2.scatter(X_pca[:, 0], X_pca[:, 1], c='g')\n",
    "ax2.set_title('After PCA(3D)')\n",
    "ax2.set_xlabel('Principal Component1')\n",
    "ax2.set_ylabel('Principal Component2')\n",
    "plt.show()"
   ],
   "id": "2e23078935c98b50",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 41
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:53.337045Z",
     "start_time": "2025-11-04T06:11:53.325695Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 手动构建线性相关的三组数据\n",
    "n = 1000\n",
    "# 定义主成分方向向量\n",
    "pc1 = np.random.normal(0, 1, n)\n",
    "pc2 = np.random.normal(0, 0.2, n)\n",
    "# 定义不重要的第三组成分 (噪声)\n",
    "noise = np.random.normal(0, 0.05, n)\n",
    "# 构建三个特征输入数据X\n",
    "X = np.vstack([pc1 + pc2, pc1 - pc2,  pc2 + noise]).T\n",
    "print(X.shape)"
   ],
   "id": "7f93744e0fdb6615",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 3)\n"
     ]
    }
   ],
   "execution_count": 42
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:53.358529Z",
     "start_time": "2025-11-04T06:11:53.349518Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 使用PCA 将3维数据降维成2维\n",
    "pca = PCA(n_components=2)\n",
    "X_pca = pca.fit_transform(X)\n",
    "print(X_pca.shape)"
   ],
   "id": "4c83805f0eb2c658",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 2)\n"
     ]
    }
   ],
   "execution_count": 43
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-11-04T06:11:53.824836Z",
     "start_time": "2025-11-04T06:11:53.372985Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 可视化\n",
    "# 转换前的3维数据可视化\n",
    "fit = plt.figure(figsize=(12, 4))\n",
    "ax1 = fit.add_subplot(121, projection='3d')\n",
    "ax1.scatter(X[:, 0], X[:, 1], X[:, 2], c='g')\n",
    "ax1.set_title('Before PCA(3D)')\n",
    "ax1.set_xlabel('Feature1')\n",
    "ax1.set_ylabel('Feature2')\n",
    "ax1.set_zlabel('Feature3')\n",
    "# 转换后的的2维数据可视化\n",
    "ax2 = fit.add_subplot(122)\n",
    "ax2.scatter(X_pca[:, 0], X_pca[:, 1], c='g')\n",
    "ax2.set_title('After PCA(3D)')\n",
    "ax2.set_xlabel('Principal Component1')\n",
    "ax2.set_ylabel('Principal Component2')\n",
    "plt.show()"
   ],
   "id": "f415e6020e6650f0",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 44
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
